0.20(y-4)+0.10y=0.18y-0.5

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Solution for 0.20(y-4)+0.10y=0.18y-0.5 equation: 


Simplifying
0.20(y + -4) + 0.10y = 0.18y + -0.5

Reorder the terms:
0.20(-4 + y) + 0.10y = 0.18y + -0.5
(-4 * 0.20 + y * 0.20) + 0.10y = 0.18y + -0.5
(-0.8 + 0.20y) + 0.10y = 0.18y + -0.5

Combine like terms: 0.20y + 0.10y = 0.3y
-0.8 + 0.3y = 0.18y + -0.5

Reorder the terms:
-0.8 + 0.3y = -0.5 + 0.18y

Solving
-0.8 + 0.3y = -0.5 + 0.18y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.18y' to each side of the equation.
-0.8 + 0.3y + -0.18y = -0.5 + 0.18y + -0.18y

Combine like terms: 0.3y + -0.18y = 0.12y
-0.8 + 0.12y = -0.5 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.8 + 0.12y = -0.5 + 0.00
-0.8 + 0.12y = -0.5

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.12y = -0.5 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.12y = -0.5 + 0.8
0.12y = -0.5 + 0.8

Combine like terms: -0.5 + 0.8 = 0.3
0.12y = 0.3

Divide each side by '0.12'.
y = 2.5

Simplifying
y = 2.5

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